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Step-by-step Solution
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Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($36$) to all terms
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$36\left(x^2+\frac{1}{3}x+\frac{1}{36}\right)$
Learn how to solve polynomial factorization problems step by step online. Factor by completing the square 36x^2+12x+1. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (36) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{1}{3}xx+\frac{1}{36}. Subtract the values \frac{1}{36} and -\frac{1}{36}.